Surface area of cone is [tex]18 \pi[/tex] square units
Solution:
Given that cone with a slant height of 7 and a radius of 2
To find: surface area of cone
The surface area of a cone is equal to the curved surface area plus the area of the base
The surface area of cone is given by formula:
[tex]S. A=\pi r^{2}+\pi r l[/tex]
Where "r" is the radius and "l" is the slant height of cone
Substituting r = 2 and l = 7 in above formula,
[tex]\begin{array}{l}{S A=\pi\left(r^{2}+r l\right)=\pi\left(2^{2}+2(7)\right)} \\\\ {S A=\pi(4+14)=18 \pi}\end{array}[/tex]
Thus surface area of cone is [tex]18 \pi[/tex] square units
